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Completeness of wave operators in relativistic quantum mechanics. (English) Zbl 0571.47010

The Enss’ method is used to study the completeness problem of wave operators of Hamiltonians which are not bounded below and with nonvanishing potential at infinity in certain regions of space. The phase space analysis follows also Mourre’s approach, algebraic arguments and decomposition which uses the generators of the symmetries of the Hamiltonian; the Lorentz group in this case.

MSC:

47A40 Scattering theory of linear operators
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[1] Enss, V., Comm. Math. Phys. 61, 285-291 (1978); Enss, V., Ann. Phys. (N. Y.) 119, 117-132 (1979); Enss, V., Comm. Math. Phys. 65, 151-165 (1979). · Zbl 0389.47005
[2] Ruelle, D., Nuovo Cim. 61A, 655-662 (1969).
[3] Mourre, E., Comm. Math. Phys. 68, 91-94 (1979). · Zbl 0429.47006
[4] Horwitz, L.P. and Piron, C., Helv. Phys. Acta 46, 316 (1973).
[5] Horwitz, L.P. and Soffer, A., Helv. Phys. Acta 53, 112 (1980).
[6] Horwitz, L.P., Lavie, I., and Soffer, A., in ?Group Theoretical Methods in Physics?, Ann. Israel Phys. Soc. 3, 231 (1980).
[7] Horwitz, L.P. and Lavie, I., Phys. Rev. D15, Nov. (1981).
[8] Simon, B., Ann. Phys. 146, 209-220 (1983). · Zbl 0547.35039
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